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Finding the Fourth Proportional to 277,729, 416,664.54 and 80,737

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Solution

The fourth proportional to 277,729, 416,664.54 and 80,737 is: 121,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,729 : 416,664.54 = 80,737 : x
  2. Step 2: Convert to fraction form
    277,729/416,664.54 = 80,737/x
  3. Step 3: Cross multiply
    277,729x = 416,664.54 × 80,737
  4. Step 4: Simplify right side
    277,729x = 33,640,244,965.98
  5. Step 5: Solve for x
    x = 33,640,244,965.98/277,729
  6. Step 6: Final answer
    x = 121,126.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.